Identify the correct labels of A , B and C in the following graph from the options given below: Root mean square speed V r m s ; most proable speed V m p ; Average speed V a v

A - V mp ; B - V av ; C - V rms

A - V mp ; B - V rms ; C - V av

A - V av ; B - V rms ; C - V mp

A - V rms ; B - V mp ; C - V av

For gaseous state, if most probable speed is denoted by C * , average speed by C ¯ and root mean square speed by C , then for many molecules, what is the ratios of these speeds?

C * : C - : C = 1 : 1 .128 : 1 .225

C * : C - : C = 1 : 1 .225 : 1 .128

C * : C - : C = 1 .225 : 1 .128 : 1

C * : C - : C = 1 .128 : 1 .225 : 1

EASY

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Helium atom is two times heavier than a hydrogen molecule at 298 K. The average kinetic energy of helium is

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Important Questions on States of Matter

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

Predict the correct order of rate of diffusion of the following molecules.

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

Identify the correct labels of

A, B

and

C

in the following graph from the options given below:
Question Image

Root mean square speed

(V_{r m s});

most proable speed

(V_{m p});

Average speed

(V_{a v})

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

The internal energy of one mole of an ideal gas is given by the expression:

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

What is the kinetic energy (in

ergs

) of the nitrogen molecule at

- 73 ° C

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

At room temperature, the average speed of Helium is higher than that of Oxygen by a factor of:

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

At what temperature

(

K)

, the most probable velocity of ozone gas is equal to RMS velocity of oxygen gas at

t ° C ?

HARD

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average, and the root mean square speeds, respectively, is

Question Image

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

Among the following, the plot that shows the correct marking of most probable velocity

(V_{MP}),

average velocity

(\bar{V}),

and root mean square velocity

(V_{RMS})

is :

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is : (Atomic masses : He = 4 u, O = 16 u)

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

Initially, the root-mean-square (RMS) velocity of

N_{2}

molecules at certain temperature is

u

. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new RMS velocity will be:

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

If the kinetic energy and

RMS

speed of a gas at a certain temperature are

4.0 kJ {mol}^{- 1}

and

5.0 \times 10^{4} cm s^{- 1}

, respectively. The molecular weight of the gas is

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

Which of the following is not an assumption of the kinetic theory of gases?

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

The quantity

h v / K_{B}

corresponds to

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

The kinetic energy in

J

1

mole of

N_{2}

27 ° C

is:

(R = 8.314 J {mol}^{- 1} K^{- 1})

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

If the r.m.s. speed of a gaseous molecule is

x m / \sec

at a pressure

p atm

, then what will be the r.m.s. speed at a pressure

2 p atm

and constant temperature ?

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

What will be the relation between the

T_{1}

of gas

1

with

M_{1} = 56

and

T_{2}

of gas

2

with

M_{2} = 44

if the average speed of gas

1

is equal to most probable speed of gas

2 ?

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

The rms velocity of hydrogen is

\sqrt{7}

times the

rms

velocity of nitrogen. If

T

is the temperature of the gas, then

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

Points

I, I I

and

I I I

in the following plot respectively correspond to (

V_{m p} :

most probable velocity)

Question Image

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

The ratio of root-mean-square velocity of hydrogen at

50 K

to that of nitrogen at

500 K

is closest to

EASY

Chemistry>Physical Chemistry>States of Matter>Kinetic Energy and Molecular Speeds

For gaseous state, if most probable speed is denoted by

C^{*}

, average speed by

\bar{C}

and root mean square speed by

C

, then for many molecules, what is the ratios of these speeds?

Helium atom is two times heavier than a hydrogen molecule at 298 K. The average kinetic energy of helium is

Important Questions on States of Matter

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